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49424400 = 24325213729
BaseRepresentation
bin1011110010001…
…0100000010000
310110000000112100
42330202200100
5100123040100
64523200400
71140046314
oct274424020
9113000470
1049424400
1125998313
1214676100
13a31640c
1467c7b44
154514400
hex2f22810

49424400 has 90 divisors (see below), whose sum is σ = 171528890. Its totient is φ = 13178880.

The previous prime is 49424363. The next prime is 49424443. The reversal of 49424400 is 442494.

It can be written as a sum of positive squares in 3 ways, for example, as 1648656 + 47775744 = 1284^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3265 + ... + 10464.

Almost surely, 249424400 is an apocalyptic number.

49424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49424400 is an abundant number, since it is smaller than the sum of its proper divisors (122104490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49424400 is a wasteful number, since it uses less digits than its factorization.

49424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 49424400 is about 7030.2489287364. The cubic root of 49424400 is about 366.9840044307.

Adding to 49424400 its reverse (442494), we get a palindrome (49866894).

The spelling of 49424400 in words is "forty-nine million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 13729 27458 41187 54916 68645 82374 109832 123561 137290 164748 205935 219664 247122 274580 329496 343225 411870 494244 549160 617805 658992 686450 823740 988488 1029675 1098320 1235610 1372900 1647480 1976976 2059350 2471220 2745800 3089025 3294960 4118700 4942440 5491600 6178050 8237400 9884880 12356100 16474800 24712200 49424400